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On the Interplay of Noise and Delay in Coupled Oscillators

  • Otti D’HuysEmail author
  • Thomas Jüngling
  • Wolfgang Kinzel
Chapter
  • 1.6k Downloads
Part of the Understanding Complex Systems book series (UCS)

Abstract

Coupling delays can play an important role in the dynamics of various networks, such as coupled semiconductor lasers, communication networks, genetic transcription circuits or the brain. A well established effect of a delay is to induce multistability: In oscillatory systems a delay gives rise to coexistent periodic orbits with different frequencies and oscillation patterns. Adding noise to the dynamics, the network switches stochastically between these delay-induced orbits. For phase oscillators, we compute analytically the distribution of frequencies, the robustness to noise and their dependence on system parameters as the coupling strength and coupling delay.

Keywords

Periodic Orbit Chaotic Attractor Phase Oscillator Oscillation Pattern Average Residence Time 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Otti D’Huys
    • 1
    Email author
  • Thomas Jüngling
    • 2
  • Wolfgang Kinzel
    • 1
  1. 1.Universität WürzburgWürzburgGermany
  2. 2.Universitat de les Illes Balears IFISC (CSIC-UIB), Campus UIBPalma de MallorcaSpain

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